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arXiv 2101.00142hep-phastro-ph.COastro-ph.HEhep-ex
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暗物质与重子的共振散射:修正的直接探测和CMB极限

Resonant Scattering between Dark Matter and Baryons: Revised Direct Detection and CMB Limits

Xingchen Xu, Glennys R. Farrar

摘要:

传统的暗物质模型,例如。WIMPs,假设暗物质是弱耦合的标准模型,使暗物质和重子之间的弹性散射可以描述的微扰玻恩近似。大多数直接检测实验都是根据这一假设进行分析的。我们发现,当基本的DM重子相互作用是有吸引力的,暗物质-核散射是非微扰的相关参数范围内的大部分。截面表现出丰富的共振行为与原子质量的高度非平凡的依赖性,此外,扩展而不是点状性质的核显着影响的截面。排斥的情况也需要完全的数值计算。这些非微扰效应改变了现有的约束。在参数的共振值附近,横截面具有非平凡的速度依赖性,而不是通常的$σ\sim v^0$ ;我们考虑了速度依赖性。(然而,这样做对当前的限制影响不大。我们报告的修正排除区取代以前的限制,从XQC,CRESST表面运行,CMB功率谱和扩展莱曼- $α$和银河系卫星,和银河系气体云。有些限制变得比以前的文献中的界限弱,而其他人变得更强。通过正确处理某些特定约束而打开的间隙有时可以使用不同的约束来闭合。我们还讨论了介质质量的依赖关系,并给出了共振附近的速度依赖关系的近似表达式。质量约为2 GeV的六夸克($uuddss$)DM,它交换QCD介子与重子,保持不受约束的大部分参数空间的兴趣。在文献中的一个声明,DM核截面大于$10^{-25}\,{\rm cm}^2$意味着暗物质是复合的,是正确的。

英文摘要:

Traditional dark matter models, eg. WIMPs, assume dark matter is weakly coupled to the standard model so that elastic scattering between dark matter and baryons can be described perturbatively by Born approximation. Most direct detection experiments are analyzed according to that assumption. We show that when the fundamental DM-baryon interaction is attractive, dark matter-nucleus scattering is non-perturbative in much of the relevant parameter range. The cross section exhibits rich resonant behavior with a highly non-trivial dependence on atomic mass; furthermore, the extended rather than point-like nature of nuclei significantly impacts the cross sections. The repulsive case also requires full numerical calculation. These non-perturbative effects change existing constraints. Near a resonance value of the parameters, the cross section has non-trivial velocity dependence rather than the usual $σ\sim v^0$; we take the velocity dependence into account. (However doing so has little impact on current constraints.) We report the corrected exclusion regions superseding previous limits from XQC, CRESST Surface Run, CMB power spectrum and extensions with Lyman-$α$ and Milky Way satellites, and Milky Way gas clouds. Some limits become weaker than previous bounds in the literature, while others become stronger. Gaps which open by correct treatment of some particular constraint can sometimes be closed using a different constraint. We also discuss the dependence on mediator mass and give approximate expressions for the velocity dependence near a resonance. Sexaquark ($uuddss$) DM with mass around 2 GeV, which exchanges QCD mesons with baryons, remains unconstrained for most of the parameter space of interest. A statement in the literature that a DM-nucleus cross section larger than $10^{-25}\,{\rm cm}^2$ implies dark matter is composite, is corrected.

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